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Finding the Third Proportional to 409,300 and 838,886

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Solution

The third proportional to 409,300 and 838,886 is: 1,719,349.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    409,300 : 838,886 = 838,886 : x
  2. Step 2: Convert to fraction form
    409,300/838,886 = 838,886/x
  3. Step 3: Cross multiply
    409,300x = 838,886 × 838,886
  4. Step 4: Simplify right side
    409,300x = 703,729,720,996
  5. Step 5: Solve for x
    x = 703,729,720,996/409,300
  6. Step 6: Final answer
    x = 1,719,349.43

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.